Answer:
- domain: -∞ < x < ∞
- range: -2 ≤ y < ∞
Step-by-step explanation:
First of all, it is useful to understand what the graph is telling you. The curve tells you for input values between about -6.5 and -3.5, the output values are between -2 and about 7.5.
The arrow on the left end of the curve mean that as x goes more negative than -6.5, the y-value goes more positive than 7.5. The graph tends toward (-∞, ∞).
The arrow on the right end of the curve mean that as x goes more positive than -3.5, the y-value goes more positive than 7.5. The graph tends toward (∞, ∞).
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The question asks about the domain and range of the function.
The domain is the <em>horizontal</em> extent of the graph, a description of all possible input values for which the function is defined. Here, that is all possible values of x: the domain is -∞ < x < ∞.
The range is the <em>vertical</em> extent of the graph, a description of all possible output values from the function. Here, the function does not produce any outputs lower than -2, but it can give any value from -2 on upward: the range is -2 ≤ y < ∞.
C because a is incorrect and so is b and d
I'm assuming you meant to write y=-2x^2-3
There are 2 basic ways to find the vertex.
Since you're in algebra (I'm assuming) plug it into -b/2a. This will give you the x value for the turning point.
-b/2a
0/2(-2)
0
Now plug in 0 to the equation to get the y value.
y=-2(0)^2-3
y=-3
Ok so the point is (0,-3)
Best of luck!
Ik one of them.. x = 6 to 000
